Catalan's constant
Number, approximately 0.916 / From Wikipedia, the free encyclopedia
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Not to be confused with Catalan number.
In mathematics, Catalan's constant G, is defined by
where β is the Dirichlet beta function. Its numerical value[1] is approximately (sequence A006752 in the OEIS)
- G = 0.915965594177219015054603514932384110774…
Unsolved problem in mathematics:
Is Catalan's constant irrational? If so, is it transcendental?
It is not known whether G is irrational, let alone transcendental.[2] G has been called "arguably the most basic constant whose irrationality and transcendence (though strongly suspected) remain unproven".[3]
Catalan's constant was named after Eugène Charles Catalan, who found quickly-converging series for its calculation and published a memoir on it in 1865.[4][5]